Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition

DOI10.1512/iumj.2016.65.5831zbMath1348.35158OpenAlexW2474229970MaRDI QIDQ2822157

Shuichi Jimbo, Kazuhiro Kurata

Publication date: 27 September 2016

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2016.65.5831

zbMATH Keywords

asymptotic behaviorsingular perturbationeigenvalue problemmean curvaturethin domain

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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